An analyst working for your firm provided an estimated log-linear demand function based on the natural logarithm of the quantity sold, price, and the average income of consumers. Results are summarized in the following table: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept LN Price LN Income df 0.968 0.937 0.933 0.003 30 2 27 29 Coefficients 0.51 -0.08 0.15 SS MS F Significance F 0.003637484 0.001818742 202.48598 5.55598E-17 0.000242516 8.98206E-06 0.00388 Standard Error 0.57 0.00 0.13 t Stat 0.90 -19.50 1.13 P-value 0.37 0.00 0.27 Lower 95% -0.65 -0.09 -0.12 How would a 4 percent increase in income impact the demand for your product? Demand would increase by 60 percent. Demand would increase by 0.6 percent. Demand would decrease by 60 percent. Demand would decrease by 0.6 percent. Upper 95% 1.68 -0.07 0.41

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
Problem 8E
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An analyst working for your firm provided an estimated log-linear demand function based on the
natural logarithm of the quantity sold, price, and the average income of consumers. Results are
summarized in the following table:
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
LN Price
LN Income
df
0.968
0.937
0.933
0.003
30
SS
MS
F
2 0.003637484 0.001818742 202.48598
0.000242516 8.98206E-06
27
29
0.00388
Coefficients Standard Error
0.57
0.00
0.13
0.51
-0.08
0.15
t Stat
0.90
-19.50
1.13
P-value
0.37
0.00
0.27
Significance F
5.55598E-17
Lower 95%
-0.65
-0.09
-0.12
How would a 4 percent increase in income impact the demand for your product?
Demand would increase by 60 percent.
Demand would increase by 0.6 percent.
Demand would decrease by 60 percent.
Demand would decrease by 0.6 percent.
Upper 95%
1.68
-0.07
0.41
Transcribed Image Text:An analyst working for your firm provided an estimated log-linear demand function based on the natural logarithm of the quantity sold, price, and the average income of consumers. Results are summarized in the following table: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept LN Price LN Income df 0.968 0.937 0.933 0.003 30 SS MS F 2 0.003637484 0.001818742 202.48598 0.000242516 8.98206E-06 27 29 0.00388 Coefficients Standard Error 0.57 0.00 0.13 0.51 -0.08 0.15 t Stat 0.90 -19.50 1.13 P-value 0.37 0.00 0.27 Significance F 5.55598E-17 Lower 95% -0.65 -0.09 -0.12 How would a 4 percent increase in income impact the demand for your product? Demand would increase by 60 percent. Demand would increase by 0.6 percent. Demand would decrease by 60 percent. Demand would decrease by 0.6 percent. Upper 95% 1.68 -0.07 0.41
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